Least Common Multiple of 17321 and 17328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17321 and 17328 the smallest integer that is 300138288 that is divisible by both numbers.

Least Common Multiple (LCM) of 17321 and 17328 is 300138288.

LCM(17321,17328) = 300138288

LCM of 17321 and 17328

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 17321 and 17328

LCM of 17321 and 17328 is 300138288

Least common multiple can be found by multiplying the highest exponent prime factors of 17321 and 17328. First we will calculate the prime factors of 17321 and 17328.

Prime Factorization of 17321


17321 17321
1

Prime factors of 17321 are 17321. Prime factorization of 17321 in exponential form is:

17321 = 173211

Prime Factorization of 17328


2 17328
2 8664
2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 17328 are 2, 3,19. Prime factorization of 17328 in exponential form is:

17328 = 24×31×192

Now multiplying the highest exponent prime factors to calculate the LCM of 17321 and 17328.

LCM(17321,17328) = 24×31×192×173211
LCM(17321,17328) = 300138288

Factors of 17321

List of positive integer factors of 17321 that divides 17321 without a remainder.

1, 17321

Factors of 17328

List of positive integer factors of 17328 that divides 17328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 361, 456, 722, 912, 1083, 1444, 2166, 2888, 4332, 5776, 8664, 17328

Least Common Multiple of 17321 and 17328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17321 and 17328, than apply into the LCM equation.

GCF(17321,17328) = 1
LCM(17321,17328) = ( 17321 × 17328) / 1
LCM(17321,17328) = 300138288 / 1
LCM(17321,17328) = 300138288

Properties of LCM 17321 and 17328

(i) The LCM of 17328 and 17321 is associative

LCM of 17321 and 17328 = LCM of 17328 and 17321

Related Least Common Multiples of 17321

Related Least Common Multiples of 17328

Frequently Asked Questions on LCM of 17321 and 17328

1. What is the LCM of 17321 and 17328?

Answer: LCM of 17321 and 17328 is 300138288.

2. What are the Factors of 17321?

Answer: Factors of 17321 are 1, 17321. There are 2 integers that are factors of 17321. The greatest factor of 17321 is 17321.

3. What are the Factors of 17328?

Answer: Factors of 17328 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 361, 456, 722, 912, 1083, 1444, 2166, 2888, 4332, 5776, 8664, 17328. There are 30 integers that are factors of 17328. The greatest factor of 17328 is 17328.

4. How to Find the LCM of 17321 and 17328?

Answer:

Least Common Multiple of 17321 and 17328 = 300138288

Step 1: Find the prime factorization of 17321

17321 = 17321

Step 2: Find the prime factorization of 17328

17328 = 2 x 2 x 2 x 2 x 3 x 19 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 300138288 = 2 x 2 x 2 x 2 x 3 x 19 x 19 x 17321

Step 4: Therefore, the least common multiple of 17321 and 17328 is 300138288.